21.  A basic feasible solution to a morigin, ndestination transportation problem is said to be ................... if the number of positive allocations are less than m + n – 1. 
a.  degenerate 
b.  nondegenerate 
c.  unbounded 
d.  unbalanced 
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Answer: (a).degenerate

22.  The total transportation cost in an initial basic feasible solution to the following transportation problem using Vogel’s Approximation method is 
a.  76 
b.  80 
c.  90 
d.  96 
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Answer: (b).80

23.  A fuzzy set A on R is ................. iff A(λx1 + (1 – λ)x2) ≥ min [A(x1), A(x2)] for all x1, x2 ∈ R and all λ ∈ [0, 1], where min denotes the minimum operator. 
a.  Support 
b.  αcut 
c.  Convex 
d.  Concave 
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Answer: (c).Convex

24.  If A and B are two fuzzy sets with membership functions
μA(x) = {0.6, 0.5, 0.1, 0.7, 0.8} μB(x) = {0.9, 0.2, 0.6, 0.8, 0.5} Then the value of μ(A∪B)’(x) will be 
a.  {0.9, 0.5, 0.6, 0.8, 0.8} 
b.  {0.6, 0.2, 0.1, 0.7, 0.5} 
c.  {0.1, 0.5, 0.4, 0.2, 0.2} 
d.  {0.1, 0.5, 0.4, 0.2, 0.3} 
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Answer: (c).{0.1, 0.5, 0.4, 0.2, 0.2}

25.  Consider a single perception with weights as given in the following figure. The perception can solve 
a.  OR problem 
b.  AND problem 
c.  XOR problem 
d.  All of the above 
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Answer: (b).AND problem
